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Finding the Fourth Proportional to 48,485.96, 72,720.84 and 13,429.16

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Solution

The fourth proportional to 48,485.96, 72,720.84 and 13,429.16 is: 20,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,485.96 : 72,720.84 = 13,429.16 : x
  2. Step 2: Convert to fraction form
    48,485.96/72,720.84 = 13,429.16/x
  3. Step 3: Cross multiply
    48,485.96x = 72,720.84 × 13,429.16
  4. Step 4: Simplify right side
    48,485.96x = 976,579,795.69
  5. Step 5: Solve for x
    x = 976,579,795.69/48,485.96
  6. Step 6: Final answer
    x = 20,141.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.